(55 points) The average reservoir pressure as a function of time in an oil reservoir surrounded by an aquifer is given in the table below. Note that the time is given in davs. Although fluid and rock properties are not provided, the water influx constant, U, is estimated to be 1000bbl/psi, the initial encroachable water in the aquifer and productivity index have been determined as Wei=5.25107RB and J=40RB/ psi-day, respectively. The effective reservoir radius has been estimated as 10,000ft and the effective radius of the aquifer estimated as 40,000ft. Finally, the dimensionless time, to can be computed as: tD=ctrs20.0002637kt=2.0103t Where t is given in hours. a. (10 points) Compute the cumulative water influx (bbls) that would encroach the reservoir at very long times ( $>700 days) if the reservoir pressure was dropped to a constant value of 3180 psi. b. (23 points) Compute the cumulative water influx (bbls), We, at 200 days using the van Everdingen and Hurst (VEH) method. Show all work and calculations. c. (22 points) Compute the cumulative water influx (bbls), We, at 200 days using the Fetkovich method. Show all work and calculations